Details

analyze484.0ms (10.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

748×	`times-frac_binary64`
398×	`sqr-pow_binary64`
320×	`unswap-sqr_binary64`
300×	`associate-l_binary64`
280×	`*-commutative_binary64`
258×	`pow-sqr_binary64`
240×	`associate-/l*_binary64`
228×	`associate-r_binary64`
210×	`associate-/r*_binary64`
150×	`div-sub_binary64`
132×	`exp-prod_binary64`
102×	`div-exp_binary64`
84×	`cube-prod_binary64`
82×	`rem-sqrt-square_binary64`
76×	`unpow3_binary64`
64×	`associate-/l/_binary64`
54×	`prod-exp_binary64` `exp-diff_binary64` `sub-neg_binary64`
52×	`neg-mul-1_binary64` `associate-/r/_binary64`
48×	`distribute-rgt-neg-in_binary64`
46×	`distribute-rgt-in_binary64`
44×	`pow-plus_binary64` `exp-sum_binary64`
40×	`distribute-frac-neg_binary64` `distribute-lft-neg-in_binary64`
36×	`*-lft-identity_binary64`
32×	`neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64`
28×	`cube-mult_binary64` `/-rgt-identity_binary64`
26×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
24×	`-rgt-identity_binary64` `associate-l/_binary64`
20×	`unpow1/2_binary64` `exp-sqrt_binary64` `cube-unmult_binary64`
18×	`unpow1_binary64` `rec-exp_binary64`
16×	`exp-lft-sqr_binary64`
14×	`unpow2_binary64`
12×	`exp-neg_binary64` `remove-double-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`
10×	`unsub-neg_binary64` `+-rgt-identity_binary64`
8×	`associate--l-_binary64` `associate--r+_binary64`
6×	`distribute-lft-out_binary64` `associate-+l-_binary64`
4×	`cos-neg_binary64`
2×	`unpow-1_binary64` `cube-div_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	49	36
2	117	36
3	153	36
4	244	36
5	440	36
6	905	36
7	1592	36
8	2460	36
9	3094	36
10	3508	36
11	4053	36
12	4860	36
13	4861	36
14	4936	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample77.0ms (1.6%)

Algorithm

1×

intervals

Results

21.0ms	61×	body	1024	valid
14.0ms	63×	body	1024	invalid
8.0ms	136×	body	128	valid
7.0ms	41×	body	512	valid
6.0ms	35×	body	512	invalid
2.0ms	18×	body	256	valid
2.0ms	17×	body	256	invalid
2.0ms	27×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify130.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-/l*_binary64`
430×	`unswap-sqr_binary64`
374×	`times-frac_binary64`
340×	`associate-/r/_binary64`
326×	`div-exp_binary64`
318×	`associate-/l/_binary64`
286×	`sqr-pow_binary64`
251×	`associate-*l/_binary64`
202×	`pow-sqr_binary64`
180×	`associate-*r/_binary64`
176×	`div-sub_binary64`
150×	`associate-l_binary64`
137×	`*-commutative_binary64`
132×	`exp-prod_binary64`
114×	`associate-r_binary64`
105×	`associate-/r*_binary64`
100×	`rem-sqrt-square_binary64`
76×	`prod-exp_binary64`
69×	`exp-diff_binary64` `cube-prod_binary64`
66×	`*-lft-identity_binary64`
65×	`*-rgt-identity_binary64`
61×	`unpow3_binary64` `remove-double-div_binary64` `distribute-rgt-in_binary64`
50×	`exp-sum_binary64` `neg-mul-1_binary64`
48×	`/-rgt-identity_binary64`
46×	`sub-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
43×	`swap-sqr_binary64`
40×	`pow-plus_binary64` `distribute-neg-frac_binary64`
37×	`distribute-frac-neg_binary64`
33×	`neg-sub0_binary64`
31×	`distribute-rgt-neg-out_binary64`
30×	`distribute-lft-neg-in_binary64`
28×	`cube-mult_binary64`
23×	`cancel-sign-sub-inv_binary64`
21×	`distribute-lft-in_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`distribute-rgt-out_binary64`
18×	`exp-sqrt_binary64`
16×	`unsub-neg_binary64`
15×	`unpow1/2_binary64`
14×	`cube-unmult_binary64` `+-rgt-identity_binary64`
13×	`rec-exp_binary64` `exp-neg_binary64`
12×	`exp-lft-sqr_binary64` `remove-double-neg_binary64`
11×	`unpow1_binary64`
10×	`unpow2_binary64` `distribute-neg-in_binary64`
7×	`cube-div_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
6×	`associate--l-_binary64` `+-commutative_binary64`
5×	`associate--r+_binary64`
4×	`distribute-neg-out_binary64`
3×	`unpow-1_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	63	18
3	83	18
4	130	18
5	231	18
6	472	18
7	824	18
8	3187	18
9	3032	18
10	3749	18
11	3945	18
12	4345	18
13	4832	18
14	4908	18
15	5290	18

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-*r/_binary64`
1×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

10.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 428 to 152 computations (64.5% saved)

series39.0ms (0.8%)

Error

0.0b

Counts

1 → 10

Calls

1 calls:

31.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 359 to 266 computations (25.9% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

479×	`unswap-sqr_binary64`
324×	`distribute-rgt-in_binary64`
301×	`*-commutative_binary64`
300×	`distribute-lft-in_binary64`
299×	`times-frac_binary64`
269×	`+-commutative_binary64`
207×	`associate-+l+_binary64`
202×	`associate-*l/_binary64`
184×	`associate-+r+_binary64`
177×	`sqr-pow_binary64`
161×	`associate-*r/_binary64`
150×	`associate-/l*_binary64`
145×	`associate-l_binary64`
128×	`cancel-sign-sub-inv_binary64`
120×	`associate-r_binary64`
119×	`sub-neg_binary64`
115×	`exp-prod_binary64`
90×	`distribute-lft-out_binary64`
78×	`associate-/r*_binary64`
70×	`distribute-rgt-neg-in_binary64`
67×	`neg-mul-1_binary64`
66×	`neg-sub0_binary64`
60×	`distribute-lft-neg-in_binary64`
56×	`distribute-rgt-out_binary64`
53×	`pow-sqr_binary64`
46×	`unsub-neg_binary64`
42×	`*-rgt-identity_binary64`
41×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
40×	`cube-prod_binary64`
35×	`associate-+l-_binary64`
33×	`swap-sqr_binary64`
29×	`prod-exp_binary64`
28×	`exp-sum_binary64` `difference-of-squares_binary64`
25×	`log-prod_binary64`
21×	`div-sub_binary64`
18×	`associate-+r-_binary64`
17×	`+-rgt-identity_binary64`
16×	`sub0-neg_binary64` `associate--l+_binary64`
15×	`distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
14×	`associate-/l/_binary64`
13×	`unpow1/2_binary64`
12×	`div-exp_binary64` `associate--r+_binary64`
11×	`rem-sqrt-square_binary64`
10×	`unpow3_binary64` `cube-unmult_binary64`
9×	`exp-diff_binary64` `cube-div_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
8×	`distribute-neg-in_binary64`
7×	`log-div_binary64`
6×	`pow-plus_binary64` `rec-exp_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64`
5×	`cube-mult_binary64` `associate-/r/_binary64`
4×	`count-2_binary64`
3×	`distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-neg_binary64` `--rgt-identity_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `mul0-lft_binary64` `div0_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

33 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	783
1	264	667
2	934	638
3	2156	631
4	4183	631
5	5213	631

prune20.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

0.0b

Counts

29 → 4

Compiler

Compiled 398 to 177 computations (55.5% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))

0.4b

(pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)

0.6b

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)))

rewrite80.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
5×	`associate-l_binary64`
4×	`cube-div_binary64`
3×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-unpow_binary64` `associate-r_binary64`
2×	`associate-*r/_binary64` `cbrt-div_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `prod-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-unprod_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64` `unpow-prod-down_binary64` `pow-to-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `cosh-undef_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

8.0ms

(pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)

8.0ms

(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))

4.0ms

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)))

Compiler

Compiled 1210 to 440 computations (63.6% saved)

series149.0ms (3.2%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

57.0ms

(pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)

32.0ms

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)))

28.0ms

(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))

Compiler

Compiled 1512 to 1145 computations (24.3% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-rgt-in_binary64`
472×	`distribute-lft-in_binary64`
239×	`cancel-sign-sub-inv_binary64`
231×	`associate-r_binary64`
208×	`unswap-sqr_binary64`
192×	`associate-l_binary64`
118×	`*-commutative_binary64`
103×	`exp-prod_binary64`
90×	`distribute-rgt-out_binary64`
89×	`log-prod_binary64`
86×	`swap-sqr_binary64`
81×	`sqr-pow_binary64`
74×	`distribute-rgt-neg-in_binary64`
66×	`+-commutative_binary64`
65×	`distribute-lft-neg-in_binary64`
64×	`sub-neg_binary64`
62×	`distribute-lft-out_binary64`
57×	`cube-prod_binary64`
42×	`associate-+r+_binary64`
36×	`associate-+l+_binary64`
27×	`exp-sum_binary64`
26×	`distribute-neg-in_binary64`
24×	`neg-sub0_binary64`
23×	`times-frac_binary64` `neg-mul-1_binary64`
21×	`*-rgt-identity_binary64`
18×	`associate--l+_binary64`
17×	`unsub-neg_binary64` `associate--r+_binary64`
16×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
14×	`unpow3_binary64` `associate-*r/_binary64`
13×	`cube-mult_binary64`
12×	`prod-exp_binary64` `pow-sqr_binary64`
11×	`associate-*l/_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`log-pow_binary64` `distribute-rgt1-in_binary64`
6×	`cube-unmult_binary64` `difference-of-squares_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `distribute-neg-frac_binary64`
4×	`unpow2_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
3×	`exp-diff_binary64` `rem-cbrt-cube_binary64` `distribute-neg-out_binary64`
2×	`div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l*_binary64` `associate-+l-_binary64`
1×	`cosh-def_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

87 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2001
1	485	1851
2	1817	1749
3	5008	1749

prune56.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	63	3	66

Error

Counts

66 → 3

Compiler

Compiled 1078 to 527 computations (51.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
1.0b	(cbrt.f64 1/8)

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64` `associate-r_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-prod_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `associate-*r/_binary64`
1×	`pow1/3_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `cosh-undef_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
1.0ms	(cbrt.f64 1/8)

Compiler

Compiled 617 to 222 computations (64% saved)

series30.0ms (0.6%)

Error

Counts

2 → 10

Calls

2 calls:

25.0ms	(*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
0.0ms	(cbrt.f64 1/8)

Compiler

Compiled 396 to 302 computations (23.7% saved)

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
382×	`associate-l_binary64`
312×	`associate-r_binary64`
303×	`times-frac_binary64`
291×	`cancel-sign-sub-inv_binary64`
229×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`
174×	`distribute-lft-out_binary64`
171×	`distribute-rgt-out_binary64`
151×	`associate-+l+_binary64`
142×	`associate-*l/_binary64`
140×	`sqr-pow_binary64`
137×	`exp-prod_binary64` `associate-+r+_binary64`
136×	`sub-neg_binary64`
134×	`associate-/l*_binary64`
117×	`distribute-rgt-neg-in_binary64`
114×	`+-commutative_binary64`
111×	`associate-*r/_binary64`
108×	`distribute-lft-neg-in_binary64`
104×	`*-commutative_binary64`
87×	`neg-mul-1_binary64`
86×	`neg-sub0_binary64`
78×	`associate-/r*_binary64`
60×	`cube-prod_binary64`
50×	`log-prod_binary64`
49×	`unsub-neg_binary64`
38×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
37×	`*-lft-identity_binary64`
36×	`pow-sqr_binary64`
35×	`associate-+l-_binary64`
33×	`exp-sum_binary64`
29×	`div-sub_binary64`
28×	`prod-exp_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
22×	`log-div_binary64` `associate--l+_binary64`
20×	`swap-sqr_binary64`
19×	`cube-div_binary64`
18×	`associate-+r-_binary64`
17×	`cube-unmult_binary64` `+-rgt-identity_binary64`
16×	`unpow3_binary64` `sub0-neg_binary64`
14×	`distribute-neg-in_binary64` `associate--r+_binary64`
12×	`div-exp_binary64` `distribute-lft-neg-out_binary64`
11×	`remove-double-neg_binary64` `distribute-neg-frac_binary64` `associate-/l/_binary64`
10×	`pow-plus_binary64`
9×	`log-pow_binary64` `exp-diff_binary64` `distribute-rgt1-in_binary64`
8×	`distribute-lft-out--_binary64`
7×	`cube-mult_binary64`
6×	`unpow1/2_binary64` `rec-exp_binary64` `associate-/r/_binary64`
5×	`rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`
4×	`log-rec_binary64` `rem-log-exp_binary64` `count-2_binary64`
3×	`distribute-neg-out_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-neg_binary64` `--rgt-identity_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-lft_binary64` `div0_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

45 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	753
1	233	662
2	714	650
3	1862	636
4	3887	636
5	5055	636

prune13.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Error

Counts

30 → 3

Compiler

Compiled 358 to 162 computations (54.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
0.2b	(log.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
0.3b	(cbrt.f64 (.f64 1/8 (pow.f64 (log.f64 (exp.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) 3)))
0.4b	(pow.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) 3)

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64` `log-pow_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `log-prod_binary64`
4×	`exp-to-pow_binary64` `exp-prod_binary64` `exp-sum_binary64`
3×	`pow-unpow_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `sqr-pow_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (log.f64 (exp.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) 3)))
4.0ms	(pow.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) 3)
3.0ms	(exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
3.0ms	(log.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))

Compiler

Compiled 1329 to 438 computations (67% saved)

series273.0ms (5.8%)

Error

Counts

4 → 40

Calls

4 calls:

91.0ms	(pow.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) 3)
57.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (log.f64 (exp.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) 3)))
53.0ms	(log.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
39.0ms	(exp.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))

Compiler

Compiled 2510 to 1828 computations (27.2% saved)

simplify119.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

399×	`unswap-sqr_binary64`
259×	`log-prod_binary64`
242×	`distribute-rgt-in_binary64`
228×	`associate-r_binary64`
226×	`distribute-lft-in_binary64`
179×	`associate-l_binary64`
165×	`cancel-sign-sub-inv_binary64`
143×	`distribute-rgt-out_binary64`
138×	`distribute-rgt-neg-in_binary64`
132×	`*-commutative_binary64`
122×	`distribute-lft-neg-in_binary64`
86×	`distribute-lft-out_binary64`
82×	`sqr-pow_binary64`
80×	`associate-+r+_binary64`
76×	`exp-prod_binary64`
71×	`+-commutative_binary64`
56×	`log-pow_binary64`
53×	`associate-+l+_binary64`
43×	`cube-prod_binary64`
42×	`swap-sqr_binary64`
36×	`associate-*r/_binary64`
33×	`associate-*l/_binary64`
27×	`sub-neg_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate--l+_binary64`
23×	`pow-sqr_binary64`
18×	`exp-sum_binary64` `associate-/l*_binary64`
16×	`distribute-lft-neg-out_binary64`
14×	`distribute-neg-in_binary64`
13×	`exp-to-pow_binary64`
12×	`unpow3_binary64` `rem-log-exp_binary64` `associate--r+_binary64`
11×	`cube-mult_binary64`
10×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `count-2_binary64`
8×	`pow-plus_binary64` `associate-+l-_binary64`
7×	`prod-exp_binary64` `cube-unmult_binary64`
6×	`unpow1/2_binary64` `unpow1_binary64` `*-rgt-identity_binary64`
5×	`unpow2_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
4×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
2×	`*-lft-identity_binary64` `distribute-lft1-in_binary64`
1×	`exp-lft-sqr_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `associate-/r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`

Counts

106 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2770
1	492	2497
2	1706	2337
3	4773	2337
4	5088	2337

prune54.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Error

Counts

93 → 3

Compiler

Compiled 1316 to 616 computations (53.2% saved)

regimes354.0ms (7.5%)

Accuracy

Total 0.0b remaining (51.5%)

Threshold costs 0.0b (51.5%)

Compiler

Compiled 4112 to 3266 computations (20.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	18	18
2	20	18
3	21	18
4	21	18

end1.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

sample2.4s (51.2%)

Algorithm

1×

intervals

Results

674.0ms	1956×	body	1024	valid
438.0ms	1942×	body	1024	invalid
250.0ms	4492×	body	128	valid
181.0ms	1023×	body	512	valid
161.0ms	994×	body	512	invalid
66.0ms	523×	body	256	valid
61.0ms	535×	body	256	invalid
47.0ms	725×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 65 to 68 computations (-4.6% saved)

Details

analyze484.0ms (10.3%)

sample77.0ms (1.6%)

simplify130.0ms (2.8%)

prune2.0ms (0%)

localize13.0ms (0.3%)

rewrite31.0ms (0.7%)

series39.0ms (0.8%)

simplify75.0ms (1.6%)

prune20.0ms (0.4%)

localize12.0ms (0.3%)

rewrite80.0ms (1.7%)

series149.0ms (3.2%)

simplify75.0ms (1.6%)

prune56.0ms (1.2%)

localize10.0ms (0.2%)

rewrite33.0ms (0.7%)

series30.0ms (0.6%)

simplify87.0ms (1.9%)

prune13.0ms (0.3%)

localize15.0ms (0.3%)

rewrite63.0ms (1.3%)

series273.0ms (5.8%)

simplify119.0ms (2.5%)

prune54.0ms (1.1%)

regimes354.0ms (7.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.4s (51.2%)

Profiling